Your answer : is b (the letter b)
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
Answer:
The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Step-by-step explanation:
Let x is the cost/price of one balcony seat, in dollars.
Then the cost of one orchestra seat is (x+6) dollars, according to the condtion.
The total cost of tickets is
250x + 400*(x+6) = 8250.
Simplify it step by step.
250x + 400x + 2400 = 8250,
650x = 8250 - 2400 = 5850 ====> x = 5850/650 = 9.
Answer. The balcony seat costs $9, the orchestra seat costs $9 + $6 = $15.
Check. 9*250 + 15*400 = 8250. Correct.
<h3><u>Question:</u></h3>
There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building?
<h3><u>Answer:</u></h3>
There are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building
<h3><u>Solution:</u></h3>
Let "b" be the number of workers in smallest building
Given that Twice as many people work in the largest building as in the smallest of the three
number of workers in largest building = 2b
Given that There are 500 more workers in the second-largest building than in the smallest building
Number of workers in second largest building = 500 + b
Given that there are 3900 workers in 3 buildings
b + 2b + 500 + b = 3900
4b + 500 = 3900
4b = 3900 - 500
4b = 3400
b = 850
Thus there are 850 workers in smallest building
workers in largest building = 2b = 2(850) = 1700
workers in second largest building = 500 + b = 500 + 850 = 1350
Thus there are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building
